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Finding the Fourth Proportional to 9,528.64, 14,293.64 and 2,955.34

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Solution

The fourth proportional to 9,528.64, 14,293.64 and 2,955.34 is: 4,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.64 : 14,293.64 = 2,955.34 : x
  2. Step 2: Convert to fraction form
    9,528.64/14,293.64 = 2,955.34/x
  3. Step 3: Cross multiply
    9,528.64x = 14,293.64 × 2,955.34
  4. Step 4: Simplify right side
    9,528.64x = 42,242,502.58
  5. Step 5: Solve for x
    x = 42,242,502.58/9,528.64
  6. Step 6: Final answer
    x = 4,433.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.